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Suppose the gravitational force varies inversely as the $n^{t h}$ power of distance then the time period $T$ of a satellite revolving in a circular orbit of radius $r$ around the earth is proportional to
$r^{\frac{n + 1}{2}}$
$r^{\frac{n - 1}{2}}$
$\frac{1}{\sqrt{r^{n} - 1}}$
$\frac{1}{\sqrt{r^{n} + 1}}$

A

r^{\frac{n + 1}{2}}

B

r^{\frac{n - 1}{2}}

C

\frac{1}{\sqrt{r^{n} + 1}}

D

\frac{1}{\sqrt{r^{n} - 1}}

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